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Group extensions with special properties
-
Andreas Distler
and
Bettina Eick
Published/Copyright:
April 14, 2015
Abstract
Given a group G and a G-module A, we show how to determine up to isomorphism the extensions E of A by G so that A embeds as smallest non-trivial term of the derived series or of the lower central series into E.
We thank Stephen Glasby for pointing us at the interesting example of the group M from Section 7.
Received: 2014-4-14
Revised: 2014-6-10
Published Online: 2015-4-14
Published in Print: 2015-5-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Group extensions with special properties
- Symmetries of finite graphs and homology
- A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication
- Key-escrow free multi-signature scheme using bilinear pairings
- An application of elementary real analysis to a metabelian group admitting integral polynomial exponents
- On convex hulls and the quasiconvex subgroups of Fm×ℤn
- A linear decomposition attack
Keywords for this article
Cohomology;
group extension;
lower central series;
derived
series;
Schur multiplier
Articles in the same Issue
- Frontmatter
- Group extensions with special properties
- Symmetries of finite graphs and homology
- A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication
- Key-escrow free multi-signature scheme using bilinear pairings
- An application of elementary real analysis to a metabelian group admitting integral polynomial exponents
- On convex hulls and the quasiconvex subgroups of Fm×ℤn
- A linear decomposition attack
